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Eduardwww [97]
3 years ago
5

The length of a rectangle is represented by the expression 2+3x and the width is represented by the expression x‒4. Which expres

sion represents the area of the rectangle? A.) 4x‒2 B.) 3x2‒14x+8 C.) 3x2‒10x‒8 D.) ‒8x‒4
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
3 0
Rectangle area = long edge × short edge

= (2+3x).(x-4)
= 2x-8+3x²-12x
= 3x²-8-10x
= 3x²-10x-8
C chic
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I NEED HELP ! <br> 2=log(3x+4)
dybincka [34]

2=log(3x+4)


y = loga b    a^y = b

since this is base 10

10^2 =3x+4

100 = 3x+4

subtract 4 from each side

96 =3x

divide by 3

32=x


5 0
3 years ago
Sinx = 1/2, cosy = sqrt2/2, and angle x and angle y are both in the first quadrant.
Leviafan [203]

Answer:

Option D. 3.73​

Step-by-step explanation:

we know that

tan(x+y)=\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}

and

sin^{2}(\alpha)+cos^{2}(\alpha)=1

step 1

Find cos(X)

we have

sin(x)=\frac{1}{2}

we know that

sin^{2}(x)+cos^{2}(x)=1

substitute

(\frac{1}{2})^{2}+cos^{2}(x)=1

cos^{2}(x)=1-\frac{1}{4}

cos^{2}(x)=\frac{3}{4}

cos(x)=\frac{\sqrt{3}}{2}

step 2

Find tan(x)

tan(x)=sin(x)/cos(x)

substitute

tan(x)=1/\sqrt{3}

step 3

Find sin(y)

we have

cos(y)=\frac{\sqrt{2}}{2}

we know that

sin^{2}(y)+cos^{2}(y)=1

substitute

sin^{2}(y)+(\frac{\sqrt{2}}{2})^{2}=1

sin^{2}(y)=1-\frac{2}{4}

sin^{2}(y)=\frac{2}{4}

sin(y)=\frac{\sqrt{2}}{2}

step 4

Find tan(y)

tan(y)=sin(y)/cos(y)

substitute

tan(y)=1

step 5      

Find tan(x+y)

tan(x+y)=\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}

substitute

tan(x+y)=[1/\sqrt{3}+1}]/[{1-1/\sqrt{3}}]=3.73

7 0
3 years ago
Suppose you drop a ball from 120 feet. The ball will bounce to 25 of its previous height. What is the total distance the ball tr
tamaranim1 [39]

Answer:

277.1 feets

Step-by-step explanation:

Drop height = 120 feets

Ball bounces 2/5 of previous height

Height after 1st bounce :

120 * 2/5 = 48 feets

Return distance = 48 feets

Height after second bounce :

48 * (2/5) = 19.2 feets

Return distance = 19.2 feets

Height after 3rd bounce :

19.2 * (2/5) = 7.68 feets

Return distance = 7.68 feets

Height after 4th bounce :

7.68 * (2/5) = 3.072 feets

Return distance = 3.072 feets

Height after 5th bounce :

3.072 * (2/5) = 1.2288 feets

(120 + (2*48) + (2*19.2) + (2*7.68) + (2*3.072) + 1.2288) = 277.1328

= 277.1 feets

6 0
3 years ago
How do you find the surface area of this shape? (20 POINTS)
Ainat [17]

you surface area is 1476.66

7 0
3 years ago
Enter a decimal that equivalent to 6/100
choli [55]

Answer:

0.06

Step-by-step explanation:

5 0
3 years ago
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